What is x^2-2x-y^2=1 ?

The solution to x^2-2x-y^2=1 is Hyperbola with (h,k)=(1,0),a=sqrt(2),b=sqrt(2)

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x^2-2x-y^2=1

x^{2} - 2 x - y^{2} = 1

(h, k) = (1, 0), a = 2, b = 2

Solution steps

x^{2} - 2 x - y^{2} = 1

Rewrite

x^{2} - 2 x - y^{2} = 1

in the form of a standard hyperbola equation

\frac{( x - 1 ) ^{2}}{( 2 ) ^{2}} - \frac{( y - 0 ) ^{2}}{( 2 ) ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (1, 0), a = 2, b = 2

- x^{2} + y^{2} = 16

- x^{2} + y^{2} = 12

\frac{x ^{2}}{8} - \frac{y ^{2}}{4} = 1

\frac{( y + 3 ) ^{2}}{64} - \frac{( x + 6 ) ^{2}}{49} = 1

2 x^{2} - 3 y^{2} - x + y = 0

What is x^2-2x-y^2=1 ?
The solution to x^2-2x-y^2=1 is Hyperbola with (h,k)=(1,0),a=sqrt(2),b=sqrt(2)